Control Theoretic Splines: Optimal Control, Statistics, and Path Planning - Couverture rigide

Livre 8 sur 33: Princeton Series in Applied Mathematics

Egerstedt, Magnus; Martin, Clyde

 
9780691132969: Control Theoretic Splines: Optimal Control, Statistics, and Path Planning
Couverture rigide
ISBN 10 : 0691132968 ISBN 13 : 9780691132969
Editeur : Princeton University Press, 2009

Synopsis

Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools.

This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data.

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À propos de l?auteur

Magnus Egerstedt is associate professor of electrical and computer engineering at Georgia Institute of Technology. Clyde Martin is the P. W. Horn Professor of Mathematics and Statistics at Texas Tech University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2009
Langue
anglais
ISBN 10 
0691132968
ISBN 13 
9780691132969
Reliure
Relié
Nombre de pages
232
Coordonnées du fabricant
non disponible
Personne responsable
non disponible